Question

Find x and the measure of each side.

/\FGH is an equilateral triangle with FG = 3x - 10, GH = 2x + 5, and HF = x + 20.

Answer 1

x=27.5

FG=72.5

GH=60

HF=47.5

Explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

GH=60

HF= x+20 =27.5+20

HF=47.5